{"id":19183,"date":"2025-06-13T13:52:03","date_gmt":"2025-06-13T13:52:03","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=19183"},"modified":"2025-06-13T13:52:11","modified_gmt":"2025-06-13T13:52:11","slug":"which-of-the-following-statements-is-false-3","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-of-the-following-statements-is-false-3\/","title":{"rendered":"Which of the following statements is false"},"content":{"rendered":"\n<p>Which of the following statements is false? The sum of the potential drops across resistors A, D and E is the same as the potential gain across the source of emf. The sum of the potential drops across resistors B and C is the same as the potential gain across the source of emf. The sum of the potential drops across resistors B and C is the same as the potential drop across resistor D.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>The <strong>false<\/strong> statement is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>The sum of the potential drops across resistors B and C is the same as the potential drop across resistor D.<\/strong><\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>In any electrical circuit, <strong>Kirchhoff\u2019s Voltage Law (KVL)<\/strong> states that the total sum of the potential differences (voltages) around any closed loop is zero. This means that the <strong>sum of the potential drops across all elements in a loop equals the total emf (electromotive force)<\/strong> provided by the source. This law is fundamental to analyzing electrical circuits.<\/p>\n\n\n\n<p>Let\u2019s examine the statements one by one:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>&#8220;The sum of the potential drops across resistors A, D, and E is the same as the potential gain across the source of emf.&#8221;<\/strong>\n<ul class=\"wp-block-list\">\n<li>This follows directly from KVL. If resistors A, D, and E are in series with the emf source in a closed loop, the total voltage across them must equal the source voltage. \u2714\ufe0f <strong>True<\/strong><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>&#8220;The sum of the potential drops across resistors B and C is the same as the potential gain across the source of emf.&#8221;<\/strong>\n<ul class=\"wp-block-list\">\n<li>Again, if B and C are in series and part of a closed loop with the emf source, this would be true. It implies that B and C together account for the entire emf, which can happen depending on circuit design. \u2714\ufe0f <strong>True<\/strong><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>&#8220;The sum of the potential drops across resistors B and C is the same as the potential drop across resistor D.&#8221;<\/strong>\n<ul class=\"wp-block-list\">\n<li>This is <strong>not necessarily true<\/strong> and is <strong>generally false<\/strong> unless there\u2019s a very specific circuit configuration (e.g., a balanced bridge). In most circuits, resistor D is in a different loop or branch than B and C, so their voltage drops aren\u2019t guaranteed to match. \u274c <strong>False<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>This last statement conflicts with KVL and Ohm\u2019s Law unless additional constraints (like symmetry or bridge balance) are imposed. Therefore, it is the <strong>false<\/strong> statement.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following statements is false? The sum of the potential drops across resistors A, D and E is the same as the potential gain across the source of emf. The sum of the potential drops across resistors B and C is the same as the potential gain across the source of emf. The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-19183","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19183","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=19183"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19183\/revisions"}],"predecessor-version":[{"id":19184,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19183\/revisions\/19184"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=19183"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=19183"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=19183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}